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Finding the Fourth Proportional to 278.34, 417.67 and 276.04

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Solution

The fourth proportional to 278.34, 417.67 and 276.04 is: 414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 417.67 = 276.04 : x
  2. Step 2: Convert to fraction form
    278.34/417.67 = 276.04/x
  3. Step 3: Cross multiply
    278.34x = 417.67 × 276.04
  4. Step 4: Simplify right side
    278.34x = 115,293.63
  5. Step 5: Solve for x
    x = 115,293.63/278.34
  6. Step 6: Final answer
    x = 414.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.